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8768340 = 2232576959
BaseRepresentation
bin100001011100…
…101101010100
3121111110220100
4201130231110
54221041330
6511534100
7134346450
oct41345524
917443810
108768340
114a49869
122b2a330
131a80089
141243660
15b83060
hex85cb54

8768340 has 72 divisors (see below), whose sum is σ = 30401280. Its totient is φ = 2003904.

The previous prime is 8768339. The next prime is 8768341. The reversal of 8768340 is 438678.

8768340 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8768339) and next prime (8768341).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8768295 and 8768304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2220 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (422240).

Almost surely, 28768340 is an apocalyptic number.

It is an amenable number.

8768340 is an abundant number, since it is smaller than the sum of its proper divisors (21632940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8768340 is a wasteful number, since it uses less digits than its factorization.

8768340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8768340 is about 2961.1382946428. The cubic root of 8768340 is about 206.2081347533.

It can be divided in two parts, 876 and 8340, that added together give a square (9216 = 962).

The spelling of 8768340 in words is "eight million, seven hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 6959 13918 20877 27836 34795 41754 48713 62631 69590 83508 97426 104385 125262 139180 146139 194852 208770 243565 250524 292278 313155 417540 438417 487130 584556 626310 730695 876834 974260 1252620 1461390 1753668 2192085 2922780 4384170 8768340